Implicit Iterative Scheme for a Countable Family of Nonexpansive Mappings in 2-Uniformly Smooth Banach Spaces

Ming Tian and Xin Jin

Abstract and Applied Analysis, 2013, vol. 2013, 1-9

Abstract:

Implicit Mann process and Halpern-type iteration have been extensively studied by many others. In this paper, in order to find a common fixed point of a countable family of nonexpansive mappings in the framework of Banach spaces, we propose a new implicit iterative algorithm related to a strongly accretive and Lipschitzian continuous operator and get strong convergence under some mild assumptions. Our results improve and extend the corresponding conclusions announced by many others.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:264910

DOI: 10.1155/2013/264910

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